Results 51 to 60 of about 2,125,985 (294)
Mellin-Fourier series and the classical Mellin transform
Computers & Mathematics with Applications, 2000 AbstractThe aim of this paper is to present the counterpart of the theory of Fourier series in the Mellin setting, thus to consider a finite Mellin transform, or Mellin-Fourier coefficients, together with the associated Mellin-Fourier series. The presentation, in a systematic and overview form, is independent of the Fourier theory (or Laplace transform
S. Jansche, Paul L. Butzer
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Convolution Structure of Fractional Quaternion Mellin Transform [PDF]
, 2016 Mellin transform is a basic tool for analyzing the behavior of many important functions in mathematics and mathematical physics. A quaternion is a 4 dimensional number, a generalization of a complex number. Basically it used in image registration.
, V. D. Sharma, P. B. Deshmukh
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An analytical solution for the Caputo type generalized fractional evolution equation
Alexandria Engineering Journal, 2022 The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to ...
Wannika Sawangtong, Panumart Sawangtong
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Notes on flat-space limit of AdS/CFT
Journal of High Energy Physics, 2021 Different frameworks exist to describe the flat-space limit of AdS/CFT, include momentum space, Mellin space, coordinate space, and partial-wave expansion.
Yue-Zhou Li
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On certain non-unique solutions of the Stieltjes moment problem [PDF]
, 2009 We construct explicit solutions of a number of Stieltjes moment problems based on moments of the form (2rn)! and [(rn)!]2. It is shown using criteria for uniqueness and non-uniqueness (Carleman, Krein, Berg, Pakes, Stoyanov) that for r > 1 both forms ...
Blasiak, Pawel +4 more
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Analytical Standard Uncertainty Evaluation Using Mellin Transform
IEEE Access, 2015 Uncertainty evaluation plays an important role in ensuring that a designed system can indeed achieve its desired performance. There are three standard methods to evaluate the propagation of uncertainty: 1) analytic linear approximation; 2) Monte Carlo ...
Arvind Rajan +3 more
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On the modular integrals and their mellin transforms
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2003 It is shown that if f is an entire modular integral on T(l) of weight k, with multiplier system u, then f m (tr ) is an entire modular integral on T(l) of weight mk, with multiplier system u. A more general formula is obtained for the Mellin transforms.
M. E. Özdemir, U. S. Kirmaci
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Analysis of the family of integral equation involving incomplete types of I and Ī-functions
Applied Mathematics in Science and Engineering, 2023 The present article introduces and studies the Fredholm-type integral equation with an incomplete I-function (IIF) and an incomplete $ \bar {I} $ -function (I $ \bar {I} $ F) in its kernel.
Sanjay Bhatter +5 more
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Harmonic sums and mellin transforms [PDF]
Nuclear Physics B - Proceedings Supplements, 1999 Contribution to the Proceedings of the 7th International Workshop on Deep Inelastic Scattering and QCD, DIS99, DESY-Zeuthen, April 1999; Nucl. Phys. B (Proc. Suppl.)
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